Midsegment Theorem
Perpendicular Bisectors
Angle Bisectors
Medians and Altitudes
Inequalities One and Two Triangles
100
What does the midsegment of a triangle connect?
the midpoints of two sides of a the triangle.
100
A point equidistant from the endpoints of a segment is on the ________ of the segment.
perpendicular bisector.
100
If a point is on the bisector of an angle, then it is equidistant from _____________.
the 2 sides of the angle
100
The medians of a triangle intersect at a point that is _______ of the distance from each vertex to the midpoint of the opposite side.
2/3rds
100
The Converse of the Hinge Theorem allows you to compare the size of 2 ________ in different triangles
angles
200
What is the relationship between the slope of a midsegment and the slope of the opposite side?
They are the same.
200
The two lines that run from the perpendicular bisector to the base on opposing sides are valued at 3x+9 and 5x-3. What is the value of x?
x = 6
200
If two angles are separated by the angle bisector and one of the angles is 34 degrees, what is the value of the entire angle?
68 degrees.
200
Define or describe the altitude of a triangle.
What is the perpendicular segment from a vertex to the opposite side.
200
Do the side lengths 6 cm, 8 cm, and 12 cm work to form a triangle? Explain how you know.
yes. 6 + 8 > 12
300
How many midsegments does a triangle have?
3
300
What are the three things that can make a point of concurrency?
What is lines, rays, and segments.
300
What is the point of concurrency of the three angle bisectors of a triangle?
the incenter.
300
The orthocenter is the intersection of the ________ of a triangle.
altitudes
300
Define the inverse of a conditional statement.
Negate both the hypothesis and conclusion.
400
Midsegment length: 8x-25
Opposite side length: 13x-150
Find x.
x = 25
400
The perpendicular bisectors of a triangle all meet at what point of concurrency?
the circumcenter
400
Which of the following is not a triangle congruence theorem:
SSS, AAA, ASA, SAS, HL
AAA
400
In what type of triangle is the circumcenter on one of the sides?
a right triangle.
400
AB = 4 cm, BC = 5 cm, and AC = 7 cm.
What is the largest angle in triangle ABC?
angle B.
500
If the midsegment of a triangle is 3x+3 and its opposite side is 4x+7, what is the value of x?
What is x=1/2?
500
AB = 12
500
Solve for x.
x = 5
500
What is the circumcenter of a triangle with these vertices:
A(0,6), B(4,0), C(0,0)
(2,3)
500
Angle A = 67 degrees. Angle B = 75 degrees. What is the smallest side of triangle ABC?
AB.